Plotting Free Body Diagram for Scalar Triple Product in MATLAB

In summary, the MATLAB code prompts the user to enter the necessary vectors (Fx, Fy, Fz), (rx, ry, rz), and (nx, ny, nz) for the scalar triple product. It then ensures that the direction vector n is a unit vector, recalculating if necessary. The code then calculates the magnitude of the moment of the force vector and plots the free body diagram with proper formatting and labels.
  • #1
raviyank
4
0

Homework Statement


[/B]
The scalar triple product computes the magnitude of the moment of a force vector about a specified line. It is M = ( r×F ) ⋅n , where is the position vector from the line to the point of application of the force and is a unit vector in the direction of the line. Prompt a user to enter (Fx,Fy ,Fz ), (rx, ry,rz ), and (nx,ny ,nz ); make sure, that is a unit vector and recalculate if necessary; then compute the magnitude for the case and plot the Free Body Diagram. The graph must be formatted and labelled by coding.

Homework Equations


[/B]= M = ( r×F ) ⋅n

The Attempt at a Solution


[/B]
i tried dot(n,cross(r,F)) for the main code but don't know how to plot free body diagram.
 
Last edited:
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  • #2
Plot the free body diagram of what?

raviyank said:
dot(n,cross(r,F))
This should work. You could also consider
Matlab:
det([r,F,n])
assuming that r, F, and N are column matrices.
 
  • #3
Moderator's note: two threads were merged, since they deal with the same question.

1. Homework Statement


The scalar triple product computes the magnitude of the moment of a force vector about a specified line. It is M = ( r× F) ⋅n , where is the position vector from the line to the point of application of the force and is a unit vector in the direction of the line. MATLAB: Prompt a user to enter (Fx,Fy ,Fz ), (rx, ry, rz), and (nx,ny ,nz ); make sure, that is a unit vector and recalculate if necessary; then compute the magnitude for the case and plot the Free Body Diagram. The graph must be formatted and labelled by coding.

2. Homework Equations

M = ( r× F) ⋅n

The Attempt at a Solution


clear;
sprinf('\nCalculating the Magnitude of M\n')
r = input ('\n Enter position vector r ');
F = input ('\n Enter Force vector F ');
While l
n = input ('\n Enter direction of the line "n" unit vector ');
N = 0;
for i = 1:1:3
N = N+n(i)^2;
end
N = round (sqrt(N),3);
if N ==1
break
end
sprintf ('\ n Error.n is not a unit vector.\n')
end

M = dot(cross(r,F),n)
M = [ M 0 0 ];Is this correct code? And I don't know how to plot free body diagram of this code..
 
Last edited by a moderator:

What is a triple product in Matlab?

A triple product in Matlab is a mathematical operation that involves the dot product and cross product of three vectors. It is used to calculate the volume of a parallelepiped formed by these three vectors.

How do I calculate a triple product in Matlab?

To calculate a triple product in Matlab, you can use the "dot" and "cross" functions. For example, if you have three vectors A, B, and C, the triple product can be calculated as dot(A,cross(B,C)).

What is the significance of the triple product in vector algebra?

The triple product has several important applications in vector algebra. It can be used to find the area of a triangle, the volume of a parallelepiped, and the moment of a force about a point. It is also used in physics and engineering to solve problems related to torque and angular momentum.

Can I use the triple product to solve real-world problems?

Yes, the triple product can be used to solve a variety of real-world problems in physics and engineering. It is commonly used in mechanics, electromagnetics, and fluid mechanics to calculate important quantities such as torque, angular momentum, and magnetic flux.

Are there any limitations to using the triple product in Matlab?

One limitation of using the triple product in Matlab is that it can only be applied to three-dimensional vectors. It also requires the vectors to be linearly independent. Additionally, the order of the vectors can affect the result of the triple product, so it is important to pay attention to the order when using it in calculations.

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